Time- and spectrally-resolved picosecond fluorescence of light-harvesting antenna complexes B880, isolated from the membranes of the photosynthetic purple bacterium Rhodospirillum rubrum were studied over a wide temperature range from room temperature down to 4 K. At low temperatures, the kinetics are dependent on the fluorescence recording wavelength, analogous with the observation for chromatophores. The kinetics presumably reflect excitation transfer between different antenna complexes in the spectrally inhomogeneous antenna. An excitation lifetime in an antenna complex of the order of 10 ps, which is insensitive to temperature, was measured. This time seems to be characteristic of the "macroscopic" light excitation transfer in a broader class of photosynthetic systems.